We study a dynamic contracting problem in which size is relevant. The agent may take on excessive risk to enhance short-term gains, which exposes the principal to large, infrequent losses. To preserve incentive compatibility, the optimal contract uses size as an instrument; there is downsizing...

We study a continuous time contracting problem with risk taking in which size plays a role. The agent may take on excessive risk to enhance short-term gains; doing so exposes the principal to large, infrequent (poisson) losses. The optimal contract must use size as an instrument; there is...